IntegratorHelm< F, N > Class Template Reference

Integrator for the Helmholtz operator with variable coefficients. More...

#include <helmIntegrator.h>

Inheritance diagram for IntegratorHelm< F, N >:

Classes
class	HelmholtzTerm
	Class for describing a Helmholtz term. More...

Public Member Functions
	IntegratorHelm (const F &c, double epsilon, size_t depth_min=0, size_t depth_max=std::numeric_limits< size_t >::max(), double gamma=std::numeric_limits< double >::max())
	Constructor.
double	stencil_integration (double p_left[N], double p_right[N], BasisFunctionType u[N], BasisFunctionType v[N]) const
	Performs the integration of the FEM function defined by p_left, p_right, u and u with the additional variable coefficient passed to the constructor.
virtual double	stencil_integration (double p_left[DIM], double p_right[DIM], BasisFunctionType u[DIM], BasisFunctionType v[DIM]) const=0

Private Attributes
F	m_variable_coefficient
	The variable coefficient.
double	m_epsilon
	Refinement criterion on the hierarchical surplus.
size_t	m_depth_min
	Minimum recursion depth.
size_t	m_depth_max
	Maximum recursion depth.
double	m_gamma
	Value to replace infinte values with.

Detailed Description

template<typename F, size_t N>
class IntegratorHelm< F, N >

Integrator for the Helmholtz operator with variable coefficients.

Template Parameters

F	Functor type for the variable coefficient
N	Number of dimensions

Note

Object of type F need to be copyable and implement an operator() ( const std::array<double, N>& )

Constructor & Destructor Documentation

IntegratorHelm()

template<typename F , size_t N>

IntegratorHelm< F, N >::IntegratorHelm ( const F &  c, double  epsilon, size_t  depth_min = 0, size_t  depth_max = std::numeric_limits<size_t>::max(), double  gamma = std::numeric_limits<double>::max()  )

inline

Constructor.

Parameters

[in]	c	The variable coefficient scalar field
[in]	epsilon	Refinement criterion of the hierarchical surplus
[in]	depth_max	Upper limit for the recursion depth (Neccessary for discontinious functions)
[in]	depth_min	Lower limit for the recursion depth (Might be useful for functions with small curvature in the domain's center)
[in]	gamma	Value by which an infinte value is replaced (For singularities inside of the domain)

Member Function Documentation

stencil_integration() [1/2]

virtual double InterfaceLocalStiffnessMatrices< DIM >::stencil_integration ( double  p_left[DIM], double  p_right[DIM], BasisFunctionType  u[DIM], BasisFunctionType  v[DIM]  ) const

pure virtualinherited

Parameters

p_left	coordinate of left boundary of cell
p_right	coordinate of right boundary of cell
u,v	vector describing type of basis function

Returns

a(u,v) with respect to the integration on the cell

stencil_integration() [2/2]

template<typename F , size_t N>

double IntegratorHelm< F, N >::stencil_integration ( double  p_left[N], double  p_right[N], BasisFunctionType  u[N], BasisFunctionType  v[N]  ) const

inline

Performs the integration of the FEM function defined by p_left, p_right, u and u with the additional variable coefficient passed to the constructor.

Parameters

[in]	p_left	First point of the rectilinear boundary
[in]	p_right	Second point of the rectilinear boundary
[in]	u	First set of base functions used in the bilinear form
[in]	v	Second set of base functions used in the bilinear form

Returns

The integral over the tensor product of (u * v) multiplied by the variable coefficient passed to the constructor on the domain spanned by p_left and p_right

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The documentation for this class was generated from the following file:

• /home/runner/work/LoAdSG/LoAdSG/library/source/stencils/InterfaceIntegration/HelmholtzIntegrator/helmIntegrator.h